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Finding the Third Proportional to 323,790 and 695,154

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Solution

The third proportional to 323,790 and 695,154 is: 1,492,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,790 : 695,154 = 695,154 : x
  2. Step 2: Convert to fraction form
    323,790/695,154 = 695,154/x
  3. Step 3: Cross multiply
    323,790x = 695,154 × 695,154
  4. Step 4: Simplify right side
    323,790x = 483,239,083,716
  5. Step 5: Solve for x
    x = 483,239,083,716/323,790
  6. Step 6: Final answer
    x = 1,492,445.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.